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Simplifying 2[3 + -2(x + 4)] = 3(4 + -1x) Reorder the terms: 2[3 + -2(4 + x)] = 3(4 + -1x) 2[3 + (4 * -2 + x * -2)] = 3(4 + -1x) 2[3 + (-8 + -2x)] = 3(4 + -1x) Combine like terms: 3 + -8 = -5 2[-5 + -2x] = 3(4 + -1x) [-5 * 2 + -2x * 2] = 3(4 + -1x) [-10 + -4x] = 3(4 + -1x) -10 + -4x = (4 * 3 + -1x * 3) -10 + -4x = (12 + -3x) Solving -10 + -4x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + -4x + 3x = 12 + -3x + 3x Combine like terms: -4x + 3x = -1x -10 + -1x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -1x = 12 + 0 -10 + -1x = 12 Add '10' to each side of the equation. -10 + 10 + -1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 12 + 10 -1x = 12 + 10 Combine like terms: 12 + 10 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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